GCF of 3364/683, 3748/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3364/683, 3748/210 i.e 4/143430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3364/683, 3748/210.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3364/683,3748/210?
Given fractions are 3364/683,3748/210
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3364/683,3748/210, numerators are 3364,3748
Denominators are 683,210
The GCF of 3364,3748 is 4 .
LCM of 683,210 is 143430.
The greatest common factor of 3364/683,3748/210 = [GCF of 3364,3748]/[LCM of 683,210]= 4/143430
Therefore, the GCF of 3364/683,3748/210 is 4/143430.
To find the highest common factor of 3364,3748, we have to find the factors of both numbers and list the highest common factor.
The factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364
The factors of 3748 are 1, 2, 4, 937, 1874, 3748
The HCF of 3364,3748 is 4.
Lets's calculate GCF of 3364,3748
| 2 | 3364, 3748 |
| 2 | 1682, 1874 |
| 841, 937 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3364,3748 By Matching Biggest Common Factor Method
Now, list down the factors of 3364
:1,2,4,29,58,116,841,1682,3364
Now, list down the factors of 3748
:1,2,4,937,1874,3748
Greatest Common Factor
We found the factors 3364,3748 . The biggest common factor number is the GCF number.
So the greatest common factor 3364,3748 is 4.
Lets's calculate LCM of 683,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 143430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/143430
Therefore, the GCF of Fractions 3364/683,3748/210 is 4/143430
Least Common Multiple of 683,210 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 683,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,210) x common factors =1 x 1 = 1
LCM(683,210) = ( 683 × 210 ) / 1
LCM(683,210) = 143430 / 1
LCM(683,210) = 143430
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FAQs on GCF of Fractions of 3364/683, 3748/210
1. What is the HCF of 3364,3748?
The HCF of 3364,3748 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3364/683, 3748/210?
Answer: GCF of Numerators as per given numbers 3364/683, 3748/210 is
GCF of Numerators i.e. for 3364,3748 is 4
LCM of denominators i.e. for 683,210 is 143430.
Thus, GCF of Fractions is 4/143430.Finally, GCF of Fractions for 3364/683, 3748/210 is 4/143430.